4.1 general superseded - government of new jersey...4.3 horizontal alignment 4.3.1 general in the...
TRANSCRIPT
BDC07MR-01
NJDOT Design Manual – Roadway 4-1
Section 4 – Basic Geometric Deign Elements
Section 4
Basic Geometric Design Elements
4.1 General
Geometric highway design pertains to the visible features of the highway. It may be
considered as the tailoring of the highway to the terrain, to the controls of the land usage, and to the type of traffic anticipated.
Design parameters covering highway types, design vehicles, and traffic data are included in Section 2, “General Design Criteria.”
This section covers design criteria and guidelines on the geometric design elements that
must be considered in the location and the design of the various types of highways. Included are criteria and guidelines on sight distances, horizontal and vertical alignment,
and other features common to the several types of roadways and highways.
In applying these criteria and guidelines, it is important to follow the basic principle that
consistency in design standards is of major importance on any section of road. The highway should offer no surprises to the driver, bicyclist or pedestrian in terms of geometrics. Problem locations are generally at the point where minimum design standards
are introduced on a section of highway where otherwise higher standards should have been applied. The ideal highway design is one with uniformly high standards applied
consistently along a section of highway, particularly on major highways designed to serve large volumes of traffic at high operating speeds.
4.2 Sight Distances
4.2.1 General
Sight distance is the continuous length of highway ahead visible to the driver. In design,
two sight distances are considered: passing sight distance and stopping sight distance. Stopping sight distance is the minimum sight distance to be provided at all points on multi-lane highways and on two-lane roads when passing sight distance is not
economically obtainable.
Stopping sight distance also is to be provided for all elements of interchanges and
intersections at grade, including driveways.
Table 4-1 shows the standards for passing and stopping sight distance related to design speed.
4.2.2 Passing Sight Distance
Passing sight distance is the minimum sight distance that must be available to enable the
driver of one vehicle to pass another vehicle, safely and comfortably, without interfering with the speed of an oncoming vehicle traveling at the design speed, should it come into view after the overtaking maneuver is started. The sight distance available for passing at
any place is the longest distance at which a driver whose eyes are 3.5 feet above the pavement surface can see the top of an object 3.5 feet high on the road.
Passing sight distance is considered only on two-lane roads. At critical locations, a stretch of four-lane construction with stopping sight distance is sometimes more economical than two lanes with passing sight distance.
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NJDOT Design Manual – Roadway 4-2
Section 4 – Basic Geometric Deign Elements
Table 4-1
Sight Distances for Design
Design
Speed Mph
Sight Distance in feet
Stopping
Minimum
Passing* Minimum
25
30 35
40
45 50
55
60 65
70
155
200 250
305
360 425
495
570 645
730
900
1090 1280
1470
1625 1835
1985
2135 2285
2480
* Not applicable to multi-lane highways.
4.2.3 Stopping Sight Distance
The minimum stopping sight distance is the distance required by the driver of a vehicle,
traveling at a given speed, to bring his vehicle to a stop after an object on the road becomes visible. Stopping sight distance is measured from the driver's eyes, which is 3.5
feet above the pavement surface, to an object 2 feet high on the road.
The stopping sight distances shown in Table 4-1 should be increased when sustained
downgrades are steeper than 3 percent. Increases in the stopping sight distances on downgrades are indicated in AASHTO, “A Policy on Geometric Design of Highways and Streets.”
4.2.4 Stopping Sight Distance on Vertical Curves
See Section 4.4.4 “Standards for Grade” for discussion on vertical curves.
4.2.5 Stopping Sight Distance on Horizontal Curves
Where an object off the pavement such as a longitudinal barrier, bridge pier, bridge rail, building, cut slope, or natural growth restricts sight distance, the minimum radius of
curvature is determined by the stopping sight distance.
Stopping sight distance for passenger vehicles on horizontal curves is obtained from
Figure 4-A. For sight distance calculations, the driver's eyes are 3.5 feet above the center of the inside lane (inside with respect to curve) and the object is 2 feet high. The line of sight is assumed to intercept the view obstruction at the midpoint of the sight line and
2.75 feet above the center of the inside lane. Of course, the midpoint elevation will be higher or lower than 2.75 feet, if it is located on a sag or crest vertical curve respectively.
The horizontal sightline offset (HSO) is measured from the center of the inside lane to the obstruction.
The general problem is to determine the clear distance from the centerline of inside lane
to a median barrier, retaining wall, bridge pier, abutment, cut slope, or other obstruction for a given design speed. Using radius of curvature and sight distance for the design
speed, Figure 4-A illustrates the HSO, which is the clear distance from centerline of inside lane to the obstruction. When the design speed and the clear distance to a fixed obstruction are known, this figure also gives the required minimum radius which satisfies
these conditions.
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NJDOT Design Manual – Roadway 4-3
Section 4 – Basic Geometric Deign Elements
When the required stopping sight distance would not be available because of an obstruction such as a railing or a longitudinal barrier, the following alternatives shall be
considered: increase the offset to the obstruction, increase the horizontal radius, or do a combination of both. However, any alternative selected should not require the width of the
shoulder on the inside of the curve to exceed 12 feet because the potential exists that motorists will use the shoulder in excess of that width as a passing or travel lane. This is especially pertinent where bicyclists can be expected to operate.
When determining the required HSO distance on ramps, the location of the driver's eye is assumed to be positioned 6 feet from the inside edge of pavement on horizontal curves.
The designer is cautioned in using the values from Figure 4-A since the stopping sight distances and HSO are based upon passenger vehicles. The average driver's eye height in large trucks is approximately 120 percent higher than a driver's eye height in a passenger
vehicle. However, the required minimum stopping sight distance can be as much as 50 percent greater than the distance required for passenger vehicles. On routes with high
percentages (10 percent or more) of truck traffic, the designer should consider providing greater horizontal clearances to vertical sight obstructions to accommodate the greater stopping distances required by large trucks. The approximate HSO required for trucks is
2.5 times the value obtained from Figure 4-A for passenger vehicles.
In designing the roadway to provide a particular stopping sight distance the designer is
advised to consider alternatives. A wider sidewalk, shoulder or bike lane increases the sight triangle, see Section 6-03. Curb extensions and parking restrictions allow the driver
to see pedestrians and cross traffic more easily.
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Section 4 – Basic Geometric Deign Elements
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Section 4 – Basic Geometric Deign Elements
4.3 Horizontal Alignment
4.3.1 General
In the design of horizontal curves, it is necessary to establish the proper relationship between design speed, curvature and superelevation. Horizontal alignment must afford at
least the minimum stopping sight distance for the design speed at all points on the roadway.
The major considerations in horizontal alignment design are: safety, grade, type of
facility, design speed, topography and construction cost. In design, safety is always considered, either directly or indirectly. Topography controls both curve radius and design
speed to a large extent. The design speed, in turn, controls sight distance, but sight distance must be considered concurrently with topography because it often demands a larger radius than the design speed. All these factors must be balanced to produce an
alignment that is safe, economical, in harmony with the natural contour of the land and, at the same time, adequate for the design classification of the roadway or highway.
4.3.2 Superelevation
When a vehicle travels on a horizontal curve, it is forced radially outward by centrifugal force. This effect becomes more pronounced as the radius of the curve is shortened. This
is counterbalanced by providing roadway superelevation and by the side friction between the vehicle tires and the surfacing. Safe travel at different speeds depends upon the
radius of curvature, the side friction, and the rate of superelevation.
When the standard superelevation for a horizontal curve cannot be met, a design
exception will be required. However, the highest practical superelevation should be selected for the horizontal curve design.
A 6 percent maximum superelevation rate shall be used on rural highways and rural or
urban freeways (see Figure 4-B). A 4 percent maximum superelevation rate may be used on high speed urban highways to minimize conflicts with adjacent development and
intersecting streets (see Figure 4-C). Low speed urban streets can use a 4 percent or 6 percent maximum superelevation rate (see Figure 4-C). The 6 percent maximum superelevation rate for low speed urban streets allows for:
1. a higher threshold of driver discomfort than the 6 percent superelevation rate in Figure 4-B, and
2. application with sharper curvature than the 4 percent maximum superelevation rate in Figure 4-C.
The minimum superelevation to be used is 1.5 percent on flat radius curves requiring
superelevation ranging from 1.5 percent to 2.0 percent, the superelevation should be increased by 0.5 percent in each successive pair of lanes on the low side of the
superelevation when more than two lanes are superelevated in the same direction.
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Section 4 – Basic Geometric Deign Elements
Values of Superelevation for Rural
Highways and Rural or Urban Freeways
2004 AASHTO
FIGURE 4B
BDC07MR-01
Vd
=
75 m
ph
R(f
t)
15700
11500
10400
9420
8620
7630
7330
6810
6340
5930
5560
5220
4910
4630
4380
4140
3910
3690
3460
3230
2970
2500
Vd
=
70 m
ph
R(f
t)
14100
10300
9240
8380
7660
7030
6490
6010
5580
5210
4860
4550
4270
4010
3770
3550
3330
3120
2910
2700
2460
2040
Vd
=
65 m
ph
R(f
t)
12600
9130
8200
7430
6770
6200
5710
5280
4890
4540
4230
3950
3630
3440
3220
3000
2800
2610
2420
2230
2020
1660
Vd
=
60 m
ph
R(f
t)
11100
8060
7230
6540
5950
5440
4990
4600
4250
3940
3650
3390
3140
2920
2710
2510
2330
2160
1990
1830
1650
1330
Vd
=
55 m
ph
R(f
t)
9410
6820
6110
5520
5020
4580
4200
3860
3560
3290
3040
2810
2590
2400
2210
2050
1890
1750
1610
1470
1320
1060
Vd
=
50 m
ph
R(f
t)
7870
5700
5100
4600
4170
3800
3480
3200
2940
2710
2490
2300
2110
1940
1780
1640
1510
1390
1280
1160
1040
833
Vd
=
45 m
ph
R(f
t)
6480
4680
4190
3770
3420
3110
2840
2600
2390
2190
2010
1840
1680
1540
1410
1300
1190
1090
995
903
806
643
Vd
=
40 m
ph
R(f
t)
5230
3770
3370
3030
2740
2490
2270
2080
1900
1740
1590
1440
1310
1190
1090
995
911
833
759
687
611
485
Vd
=
35 m
ph
R(f
t)
4100
2950
2630
2360
2130
1930
1760
1600
1460
1320
1190
1070
960
868
788
718
654
595
540
487
431
340
Vd
=
30 m
ph
R(f
t)
3130
2240
2000
1790
1610
1460
1320
1200
1080
972
864
766
684
615
555
502
456
413
373
335
296
231
Vd
=
25 m
ph
R(f
t)
2290
1630
1450
1300
1170
1050
944
850
761
673
583
511
452
402
360
324
292
264
237
212
186
144
e
(%)
1.5
2.0
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
4.2
4.4
4.6
4.8
5.0
5.2
5.4
5.6
5.8
6.0
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NJDOT Design Manual – Roadway 4-7
Section 4 – Basic Geometric Deign Elements
Values of Superelevation for
Urban Highways
Note: Use of emax = 4% should be limited to urban conditions.
2004 AASHTO
FIGURE 4C
BDC07MR-01
e (%)
Vd=
25mph
R (ft)
Vd=
30mph
R (ft)
Vd=
35mph
R (ft)
Vd=
40mph
R (ft)
Vd=
45mph
R (ft)
Vd=
50mph
R (ft)
Vd=
55mph
R (ft)
Vd=
60mph
R (ft) 1.5 2050 2830 3730 4770 5930 7220 8650 10300
2.0 1340 1880 2490 3220 4040 4940 5950 7080
2.2 1110 1580 2120 2760 3480 4280 5180 6190
2.4 838 1270 1760 2340 2980 3690 4500 5410
2.6 650 1000 1420 1930 2490 3130 3870 4700
2.8 524 817 1170 1620 2100 2660 3310 4060
3.0 433 681 983 1370 1800 2290 2860 3530
3.2 363 576 835 1180 1550 1980 2490 3090
3.4 307 490 714 1010 1340 1720 2170 2700
3.6 259 416 610 865 1150 1480 1880 2350
3.8 215 348 512 730 970 1260 1600 2010
4.0 154 250 371 533 711 926 1190 1500
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Section 4 – Basic Geometric Deign Elements
Notes: 1. Computed using Superelevation Distribution Method 2.
2. Superelevation may be optional on low-speed urban streets.
3. Negative superelevation values beyond -2.0% should be used for low type surfaces such
as gravel, crushed stone, and earth. However, areas with intense rainfall may use normal
cross slopes on high type surfaces of -2.5%.
Values of Superelevation for
Low-Speed Urban Streets
AASHTO 2004
FIGURE 4C1
BDC07MR-01
e (%)
Vd = 25mph
R (ft) Vd = 30mph
R (ft) Vd = 35mph
R (ft) Vd = 40mph
R (ft) Vd = 45mph
R (ft)
-2.6 204 345 530 796 1089
-2.4 202 341 524 784 1071
-2.2 200 337 517 773 1055
-2.0 198 333 510 762 1039
-1.5 194 324 495 736 1000
0 181 300 454 667 900
1.5 170 279 419 610 818
2.0 167 273 408 593 794
2.2 165 270 404 586 785
2.4 164 268 400 580 776
2.6 163 265 396 573 767
2.8 161 263 393 567 758
3.0 160 261 389 561 750
3.2 159 259 385 556 742
3.4 158 256 382 550 734
3.6 157 254 378 544 726
3.8 155 252 375 539 718
4.0 154 250 371 533 711
4.2 153 248 368 528 703
4.4 152 246 365 523 696
4.6 151 244 361 518 689
4.8 150 242 358 513 682
5.0 149 240 355 508 675
5.2 148 238 352 503 668
5.4 147 236 349 498 662
5.6 146 234 346 494 655
5.8 145 233 343 489 649
6.0 144 231 340 485 643 Supers
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Section 4 – Basic Geometric Deign Elements
It may be appropriate to provide adverse crown on flat radius curves (less than 2 percent superelevation) to avoid water buildup on the low side of the superelevation when there
are more than three lanes draining across the pavement (This design treatment would require a design exception). Another option is to construct a permeable surface course or
a high macotexture surface course since these surfaces appear to have the highest potential for reducing hydroplaning accidents. Also, grooving the pavement perpendicular to the traveled way may be considered as a corrective measure for severe localized
hydroplaning problems.
Figures 4-B and 4-C give the design values for each rate of superelevation to be used for
various design speeds and radii on mainline curves.
A. Axis of Rotation
1. Undivided Highways
For undivided highways, the axis of rotation for superelevation is usually the centerline of the traveled way. However, in special cases where curves are
preceded by long, relatively level tangents, the plane of superelevation may be rotated about the inside edge of the pavement to improve perception of the curve. In flat terrain, drainage pockets caused by superelevation may be avoided by
changing the axis of rotation from the centerline to the inside edge of the pavement.
2. Ramps and Freeway to Freeway Connections
The axis of rotation may be about either edge of pavement or centerline if
multi-lane. Appearance and drainage considerations should always be taken into account in selection of the axis rotation.
3. Divided Highways
a. Freeways
Where the initial median width is 30 feet or less, the axis of rotation should be
at the median centerline.
Where the initial median width is greater than 30 feet and the ultimate median width is 30 feet or less, the axis of rotation should be at the median centerline,
except where the resulting initial median slope would be steeper than 10H:1V. In the latter case, the axis of rotation should be at the ultimate median edges
of pavement.
Where the ultimate median width is greater than 30 feet, the axis of rotation should be at the proposed median edges of pavement.
Where the initial median width is 30 feet or less, the axis of rotation should be at the median centerline.
Where the initial median width is greater than 30 feet and the ultimate median width is 30 feet or less, the axis of rotation should be at the median centerline, except where the resulting initial median slope would be steeper than 10H:1V.
In the latter case, the axis of rotation should be at the ultimate median edges of pavement.
Where the ultimate median width is greater than 30 feet, the axis of rotation should be at the proposed median edges of pavement.
To avoid a sawtooth on bridges with decked medians, the axis of rotation, if
not already on the median centerline, should be shifted to the median centerline.
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Section 4 – Basic Geometric Deign Elements
b. Other Divided Highways
The axis of rotation should be considered on an individual project basis and the
most appropriate case for the conditions should be selected.
The selection of the axis of rotation should always be considered in conjunction
with the design of the profile and superelevation transition.
B. Superelevation Transition
The superelevation transition consists of the superelevation runoff (length of roadway
needed to accomplish the change in outside-lane cross slope from zero to full superelevation or vice versa) and tangent runout (length of roadway needed to
accomplish the change in outside-lane cross slope from the normal cross slope to zero or vice versa). The definition of and method of deriving superelevation runoff and runout in this manual is the same as described in AASHTO, “A Policy on Geometric
Design of Highways and Streets.”
The superelevation transition should be designed to satisfy the requirements of safety
and comfort and be pleasing in appearance. The minimum length of superelevation runoff and runout should be based on the following formula:
Superelevation RunofF Tangent Runout
Lr = (w)(n)(e)(b)/ Lt = (Lr)(eNC)/e
Where: Lr = minimum length of
superelevation runoff, ft;
= maximum relative gradient, percent (Table 4-2);
n = number of lanes rotated
b = adjustment factor for number of lanes rotated
(Table 4-3)
w = width of one traffic lane, ft. e = design superelevation rate,
percent
Where Lt = minimum length of tangent
runout, ft.
eNC = normal cross slope rate, percent
e = design superelevation rate
Lr = minimum length of superelevation runoff, ft.
Table 4-2 Maximum Relative Gradient
Design
Speed (mph)
25 30 35 40 45 50 55 60 65 70
Maximum
Relative Gradient
0.70 0.66 0.62 0.58 0.54 0.50 0.47 0.45 0.43 0.4
0
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Section 4 – Basic Geometric Deign Elements
Table 4-3
Adjustment Factor for Number of Lanes Rotated
Number of Lanes Rotated (n) Adjustment Factor (b)
1 1.00
1.5 0.83
2 0.75
2.5 0.70
3 0.67
3.5 0.64
On 3R projects where the existing runoff and runout lengths are shorter than
calculated from the formula, the existing runoff and runout lengths may be maintained.
With respect to the beginning or ending of a curve, the amount of runoff on the tangent should desirably be based on Table 4-4. However, runoff lengths on the tangent ranging from 60 to 90 percent are acceptable.
Table 4-4
Percent of Runoff on Tangent
Design
Speed
Mph
Portion of runoff located prior to the curve
Number of lanes rotated
1.0 1.5 2.0-2.5 3.0-3.5
25-45 0.80 0.85 0.90 0.90
50-80 0.70 0.75 0.80 0.85
After a superelevation transition is designed, profiles of the edges of pavement and
shoulder should be plotted and irregularities removed by introducing smooth curves by the means of a graphic profile. Flat areas which are undesirable from a drainage standpoint should be avoided.
Pronounced and unsightly sags may develop on the low side of the superelevation. These can be corrected by adjusting the grades on the two edges of pavement
throughout the curve.
C. Transition Curves and Superelevation
The use of transition curves on arterial highways designed for 50 mph or greater is
encouraged. Figures 4D through 4H inclusive indicate the desirable treatment on highway curves including the method of distributing superelevation.
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Section 4 – Basic Geometric Deign Elements
4.3.3 Curvature
A General
The changes in direction along a highway are basically accounted for by simple curves or compound curves. Excessive curvature or poor combinations of curvature generate
accidents, limit capacity, cause economic losses in time and operating costs, and detract from a pleasing appearance. To avoid these poor design practices, the following general controls should be used.
B. Curve Radii for Horizontal Curves
Table 4-5 gives the minimum radius of open highway curves for specific design speeds.
This table is based upon a 6 percent and 4 percent maximum superelevation; it ignores the horizontal stopping sight distance factor.
Table 4-5
Standards for Curve Radius
Design Speed
(mph)
Minimum Radius of
Curve for Rural
Highways and Rural or Urban
Freeways
Based on 6% emax
(ft)
Minimum
Radius of Curve for
Urban
Highways Based on
4% emax
(ft)
Minimum
Radius of Curve for Low
Speed Urban
Highways Based on
6% emax
(ft)
25
30
35 40
45
50 55
60
65 70
144
231
340 485
643
833 1060
1330
1660 2040
154
250
371 533
711
926 1190
1500
---
144
231
340 485
---
--- ---
---
---
Every effort should be made to exceed the minimum values. Minimum radii should be used only when the cost or other adverse effects of realizing a higher standard are
inconsistent with the benefits. Where a longitudinal barrier is provided in the median, the above minimum radii may need to be increased or the adjacent shoulder widened to provide adequate horizontal stopping sight distance.
The suggested minimum radius for a freeway is 3000 feet in rural areas and 1600 feet in urban areas. For a land service highway, the preferred minimum radius is 1600 feet and
1000 feet for design speeds of 60 mph and 50 mph respectively.
Due to the higher center of gravity on large trucks, sharp curves on open highways may contribute to truck overturning. Overturning becomes critical on radii below approximately
700 feet. Where new or reconstructed curves on open highways with radii less than 700
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NJDOT Design Manual – Roadway 4-18
Section 4 – Basic Geometric Deign Elements
feet must be provided, the design of these radii shall be based upon a design speed of at least 10 mph greater than the anticipated posted speed.
C. Alignment Consistency
Sudden reductions in standards introduce the element of surprise to the driver and should be avoided. Where physical restrictions on curve radius cannot be overcome and it
becomes necessary to introduce curvature of a lower standard than the design speed for the project, the design speed between successive curves shall change not more than 10
mph. Introduction of a curve for a design speed lower than the design speed of the project shall be avoided at the end of a long tangent or at other locations where high approach speeds may be anticipated.
D. Stopping Sight Distance
Horizontal alignment should afford at least the desirable stopping sight distance for the
design speed at all points of the highway. Where social, environmental or economic impacts do not permit the use of desirable values, lesser stopping sight distances may be used, but shall not be less than the minimum values.
E. Curve Length and Central Angle
The following is applicable for freeways and rural arterial highways. Desirably, the
minimum curve length for central angles less than 5 degrees should be 500 feet long, and the minimum length should be increased 100 feet for each 1 degree decrease in the central angle to avoid the appearance of a kink. For central angles smaller than 30
minutes, no curve is required. In no event shall sight distance or other safety considerations be sacrificed to meet the above requirement.
F. Compound Curves
On compound curves for arterial highways, the curve treatment shown in Figures 4D through 4H should be used. For compound curves at intersections and ramps, the ratio of
the flatter radius to the sharper radius should not exceed 2.0.
G. Reversing Curves
The intervening tangent distance between reverse curves should, as a minimum, be sufficient to accommodate the superelevation transition as specified in Section 4.3.2, “Superelevation.” For design speeds of 50 mph and greater, longer tangent lengths are
desirable. A range of desirable tangent lengths are shown in Table 4-6 for high design speeds.
Table 4-6 Desirable Tangent Length
Between Reversing Curves
Design Speed
(mph)
Desirable
Tangent
(ft)
50 60
70
500-600 600-800
800-1000
H. Broken Back Curves
A broken back curve consists of two curves in the same direction joined by a short tangent. Broken back curves are unsightly and violate driver expectancy. A reasonable
additional expenditure may be warranted to avoid such curvature.
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NJDOT Design Manual – Roadway 4-19
Section 4 – Basic Geometric Deign Elements
The intervening tangent distance between broken back curves should, as a minimum, be sufficient to accommodate the superelevation transition as specified in Section 4.3.2. For
design speeds of 50 mph and greater, longer tangent lengths are desirable. Table 4-7 indicates the desirable tangent length between same direction curves. The desirable
tangent distance should be exceeded when both curves are visible for some distance ahead.
Table 4-7
Desirable Tangent Length
Between Same Direction Curves
Design Speed
(mph)
Desirable
Tangent (ft)
50
60
70
1000
1500
2500
I. Alignment at Bridges
Superelevation transitions on bridges almost always result in an unsightly appearance of the bridge and the bridge railing. Therefore, if at all possible, horizontal curves should
begin and end a sufficient distance from the bridge so that no part of the superelevation transition extends onto the bridge. Alignment and safety considerations, however, are paramount and shall not be sacrificed to meet the above criteria.
4.4 Vertical Alignment
4.4.1 General
The profile line is a reference line by which the elevation of the pavement and other features of the highway are established. It is controlled mainly by topography, type of highway, horizontal alignment, safety, sight distance, construction costs, cultural
development, drainage and pleasing appearance. The performance of heavy vehicles on a grade must also be considered.
All portions of the profile line must meet sight distance requirements for the design speed of the road.
In flat terrain, the elevation of the profile line is often controlled by drainage
considerations. In rolling terrain, some undulation in the profile line is often advantageous, both from the standpoint of truck operation and construction economy.
But, this should be done with appearance in mind; for example, a profile on tangent alignment exhibiting a series of humps visible for some distance ahead should be avoided whenever possible. In rolling terrain, however, the profile usually is closely dependent
upon physical controls.
In considering alternative profiles, economic comparisons should be made. For further
details, see AASHTO, “A Policy on Geometric Design of Highways and Streets.”
4.4.2 Position with Respect to Cross Section
The profile line should generally coincide with the axis of rotation for superelevation. The
relation to the cross section should be as follows:
A. Undivided Highways
The profile line should coincide with the highway centerline.
B. Ramps and Freeway to Freeway Connections
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The profile line may be positioned at either edge of pavement, or centerline of ramp if multi-lane.
C. Divided Highways
The profile line may be positioned at either the centerline of the median or at the
median edge of pavement. The former case is appropriate for paved medians 30 feet wide or less. The latter case is appropriate when:
1. The median edges of pavement of the two roadways are at equal elevation.
2. The two roadways are at different elevations.
4.4.3 Separate Grade Lines
Separate or independent profile lines are appropriate in some cases for freeways and divided arterial highways.
They are not normally considered appropriate where medians are less than 30 feet.
Exceptions to this may be minor differences between opposing grade lines in special situations.
In addition, appreciable grade differentials between roadbeds should be avoided in the vicinity of at-grade intersections. For traffic entering from the crossroad, confusion and wrong-way movements could result if the pavement of the far roadway is obscured due to
an excessive differential.
4.4.4 Standards for Grade
The minimum grade rate for freeways and land service highways with a curbed or bermed section is 0.3 percent. On highways with an umbrella section, grades flatter than 0.3
percent may be used where the shoulder width is 8 feet or greater and the shoulder cross slope is 4 percent or greater. For maximum grades for urban and rural land service highways and freeways, see Table 4-8.
Table 4-8
Maximum Grades (%)
Rural Land Service Highways
Type of
Terrain
Design Speed (mph)
30
40
45
50
55
60
65
Level
---
5
5
4
4
3
3
Rolling ---
6
6
5
5
4
4
Mountainous ---
8
7
7
6
6
5
Urban Land Service Highways
Type of
Terrain
Design Speed (mph)
30
40
45
50
55
60
65
Level
8
7
6
6
5
5
---
Rolling
9
8
7
7
6
6
--- Mountainous
11
10
9
9
8
8
---
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Freeways *
Type of
Terrain
Design Speed (mph)
40
45
50
55
60
65
70
Level
---
---
4
4
3
3
3
Rolling ---
---
5
5
4
4
4
Mountainous ---
---
6
6
6
5
5
* Grades 1% steeper than the value shown may be provided in
mountainous terrain or in urban areas with crucial right-of –way controls.
4.4.5 Vertical Curves
Properly designed vertical curves should provide adequate sight distance, safety,
comfortable driving, good drainage, and pleasing appearance. On new alignments or major reconstruction projects on existing highways, the designer should, where practical,
provide the desirable vertical curve lengths. The use of minimum vertical curve lengths should be limited to existing highways and those locations where the desirable values or values greater than the minimum would involve significant social, environmental or
economic impacts.
A parabolic vertical curve is used to provide a smooth transition between different tangent
grades. Figures 4-I and 4-J give the length of crest and sag vertical curves for various design speeds and algebraic differences in grade. The stopping sight distance for these curves are based upon a height of eye of 3.5 feet, and a height of object of 2 feet. The
minimum length of vertical curve may also be obtained by multiplying the K value (Fig. 4-I or 4-J) by the algebraic difference in grade. The vertical lines in Figure 4-I and 4-J are
equivalent to 3 times the design speed. To determine the length of crest vertical curves on highways designed with two-way left-turn lanes (see Section 6.7.1).
Flat vertical curves may develop poor drainage at level sections. Highway drainage must
be given more careful consideration when the design speed exceeds 60 and 65 mph for crest vertical curves and sag vertical curves respectively. The length of sag vertical curves
for riding comfort should desirably be approximately equal to:
L = AV2/46.5.
L = Length of sag vertical curve, ft. A = Algebraic difference in grades, percent.
V = Design speed, mph.
When the difference between the P.V.I. elevation and the vertical curve elevation at the
P.V.I. station (E) is 0.0625 feet (3/4 inch), a vertical curve is not required. The use of a profile angle point is permitted. The maximum algebraic difference in tangent grades (A)
that an angle point is permitted for various design speeds is shown in Table 4-9. This table is based on a length of vertical curve of 3 times the design speed.
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Table 4-9
Use of a Profile Angle Point
Design Speed (mph)
AMAX %
25
30
35 40
45
50 55
60
65 70
.70
.55
.50
.40
.40
.35
.30
.30
.25
.25
All umbrella section low points in cut and fill sections on freeways and Interstate highways
shall be provided with slope protection at each low point in the mainline or ramp vertical geometry as shown in the “Standard Roadway Construction Details.” The purpose of this
treatment is to minimize maintenance requirements in addressing the gradual build up of a berm which may eventually contribute to water ponding on the roadway surface and/or
erosion of the side slope. The following are some recommended low point treatments:
A. Low Point at Edge of Ramp or Outside Edge of Mainline Pavement
Where practical, an "E" inlet should be provided in the outside edge of pavement at the
low point to catch and divert the surface runoff. Provide outlet protection where needed at the pipe outfall.
As an alternative, provide slope protection which shall consist of the following:
1. Fill Section
Slope protection shall consist of a 20 feet long bituminous concrete paved area
between the edge of pavement and the hinge point (PVI) together with a riprap stone flume on the fill slope and a riprap stone apron at the bottom of the slope.
The riprap shall only be provided where the fill slope is steeper than 4H:1V. Where there is an inlet in a swale at the low point, center the riprap stone apron around the inlet. Where guide rail exists at the low point, the 10 foot long paved area shall
be constructed instead of the non-vegetative surface treatment under the guide rail.
2. Cut Section
Slope protection shall consist of a 20 foot long bituminous concrete paved area between the edge of pavement and the toe of slope.
3. Low Point at Median Edge of Mainline Pavement
Provide slope protection which shall consist of a 20 foot long by 5 foot wide strip of
bituminous concrete pavement adjacent to the inside edge of shoulder. If the fill slope is steeper than 4H:1V, provide riprap stone slope protection as described in "Low Point at Edge of Ramp or Outside Edge of Mainline Pavement".
On two-lane roads, extremely long crest vertical curves over one half mile should be avoided, since many drivers refuse to pass on such curves, despite adequate sight
distance. It is sometimes more economical to use four-lane construction, than to obtain passing sight distance by the use of a long vertical curve.
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Vertical curves affect intersection sight distance, therefore, utilizing the distances in Figure 6-A, an eye height of 3.5 feet and an object height of 3.5 feet; check for vertical
sight distance at the intersection.
Broken back vertical curves consist of two vertical curves in the same direction, separated
by a short grade tangent. A profile with such curvature normally should be avoided.
4.4.6 Heavy Grades
Except on level terrain, often it is not economically feasible to design a profile that will
allow uniform operating speeds for all classes of vehicles. Sometimes, a long sustained gradient is unavoidable.
From a truck operation standpoint, a profile with sections of maximum gradient broken by length of flatter grade is preferable to a long sustained grade only slightly below the maximum allowable. It is considered good practice to use the steeper rates at the bottom
of the grade, thus developing slack for lighter gradient at the top or elsewhere on the grade.
4.4.7 Coordination with Horizontal Alignment
A proper balance between curvature and grades should be sought. When possible, vertical curves should be superimposed on horizontal curves. This reduces the number of sight
distance restrictions on the project, makes changes in profile less apparent, particularly in rolling terrain, and results in a pleasing appearance. For safety reasons, the horizontal
curve should lead the vertical curve. On the other hand, where the change in horizontal alignment at a grade summit is slight, it safely may be concealed by making the vertical
curve overlay the horizontal curve.
When vertical and horizontal curves are thus superimposed, the superelevation may cause distortion in the outer pavement edges. Profiles of the pavement edge should be plotted
and smooth curves introduced to remove any irregularities.
A sharp horizontal curve should not be introduced at or near a pronounced summit or
grade sag. This presents a distorted appearance and is particularly hazardous at night.
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4.5 Climbing Lane
A climbing lane, as shown in Figure 4-K, is an auxiliary lane introduced at the beginning of
a sustained positive grade for the diversion of slow traffic.
Generally, climbing lanes will be provided when the following conditions are satisfied.
These conditions could be waived if slower moving truck traffic was the major contributing factor causing a high accident rate and could be corrected by addition of a climbing lane.
A. Two-Lane Highways
The following three conditions should be satisfied to justify a climbing lane:
1. Upgrade traffic flow rate in excess of 200 vehicles per hour.
2. Upgrade truck flow rate in excess of 20 vehicles per hour.
3. One of the following conditions exists:
a. A 10 mph or greater speed reduction is expected for a typical heavy truck.
b. Level of Service E or F exists on the grade.
c. A reduction of two or more levels of service is experienced when moving from
the approach segment of the grade.
A complete explanation and a sample calculation on how to check for these conditions are shown in the section on "Climbing Lanes" contained in Chapter 3,
“Elements of Design", of the AASHTO, “A Policy on Geometric Design of Highways and Streets.”
B. Freeways and Multi-lane Highways
Both of the following conditions should be satisfied to justify a climbing lane:
1. A 10 mph or greater speed reduction is expected for a typical heavy truck.
2. The service volume on an individual grade should not exceed that attained by using the next poorer level of service from that used for the basic design. The one
exception is that the service volume derived from employing Level of Service D should not be exceeded.
If the analysis indicates that a climbing lane is required, an additional check must be made to determine if the number of lanes required on the grade are sufficient even with a climbing lane.
A complete explanation and a sample calculation on how to check for these conditions are shown in the section on "Climbing Lanes" contained in Chapter 3, “Elements of Design", of
the AASHTO, “A Policy on Geometric Design of Highways and Streets.”
The beginning warrant for a truck climbing lane shall be that point where truck operating speed is reduced by 10 mph. To locate this point, use Exhibit 3-59 or Exhibit 3-60 of the
aforementioned AASHTO Policy, depending on the weight/horsepower ratio of the appropriate truck. The beginning of the climbing lane should be preceded by a tapered
section, desirably 300 feet, however, a 150 feet minimum taper may be used.
Desirably, the point of ending of a climbing lane would be to a point beyond the crest, where a typical truck could attain a speed that is about 10 mph below the operating speed
of the highway. This point can be determined from Exhibit 3-60 of the aforementioned AASHTO Policy. If it is not practical to end the climbing lane as per Exhibit 3-60, end the
climbing lane at a point where the truck has proper sight distance to safely merge into the normal lane, or preferably, 200 feet beyond this point. For two lane highways, passing sight distance should be available. For freeways and multi-lane highways, passing sight
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distance need not be considered. For all highways, as a minimum, stopping sight distance shall be available. The ending taper beyond this point shall be according to Figure 4-L.
A distance-speed profile should be developed for the area of a climbing lane. The profile should start at the bottom of the first long downgrade prior to the upgrade being
considered for a climbing lane, speeds through long vertical curves can be approximated by considering 25 percent of the vertical curve length (chord) as part of the grade under question.
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4.6 Through Lane Transition
Design standards of the various features of the transition between roadways of different
widths should be consistent with the design standards of the superior roadway. The transition for a lane drop or lane width reduction should be made on a tangent section
whenever possible and should avoid locations with horizontal and vertical sight distance restrictions. Whenever feasible, the entire transition should be visible to the driver of a vehicle approaching the narrower section.
The design should be such that at-grade intersections within the transition are avoided.
Figure 4-L shows the minimum required taper length based upon the design speed of the
roadway. In all cases, a taper length longer than the minimum should be provided where possible. In general, when a lane is dropped by tapering, the transition should be on the right so that traffic merges to the left.
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